Wavelet transform and anti-Wick quantization of time

Authors

  • Daisy A. Romeo ⋅ PH Department of Engineering, Mathematics, Physics and Chemistry, CIT University
  • Job A. Nable ⋅ PH Department of Mathematics, Ateneo de Manila University

Abstract

Coherent states are fundamental objects in quantum physics and in mathematics. In this short note, we use coherent states as the basic object in anti-Wick quantization, applied in the construction of time operators, and in constructing functional Hilbert spaces via the Wavelet transform. The wavelet transform is one of the more important applications of harmonic analysis on Lie groups and serves as one important unifying principle for coherent states.

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Issue

Article ID

SPP-2022-1D-06

Section

Theoretical and Mathematical Physics

Published

2022-09-29

How to Cite

[1]
DA Romeo and JA Nable, Wavelet transform and anti-Wick quantization of time, Proceedings of the Samahang Pisika ng Pilipinas 40, SPP-2022-1D-06 (2022). URL: https://proceedings.spp-online.org/article/view/SPP-2022-1D-06.